Finding the Third Proportional to 89,242 and 138,182

Step by Step Solution

1. Step 1: Write the proportion equation
   89,242 : 138,182 = 138,182 : x
2. Step 2: Convert to fraction form
   89,242/138,182 = 138,182/x
3. Step 3: Cross multiply
   89,242x = 138,182 × 138,182
4. Step 4: Simplify right side
   89,242x = 19,094,265,124
5. Step 5: Solve for x
   x = 19,094,265,124/89,242
6. Step 6: Final answer
   x = 213,960.52